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Finding the Fourth Proportional to 800.34, 1,200.51 and 223.22

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Solution

The fourth proportional to 800.34, 1,200.51 and 223.22 is: 334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.34 : 1,200.51 = 223.22 : x
  2. Step 2: Convert to fraction form
    800.34/1,200.51 = 223.22/x
  3. Step 3: Cross multiply
    800.34x = 1,200.51 × 223.22
  4. Step 4: Simplify right side
    800.34x = 267,971.84
  5. Step 5: Solve for x
    x = 267,971.84/800.34
  6. Step 6: Final answer
    x = 334.82

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Double scale
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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.